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Finding the Fourth Proportional to 461,388.81, 691,660.40 and 161,706.03

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Solution

The fourth proportional to 461,388.81, 691,660.40 and 161,706.03 is: 242,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,388.81 : 691,660.40 = 161,706.03 : x
  2. Step 2: Convert to fraction form
    461,388.81/691,660.40 = 161,706.03/x
  3. Step 3: Cross multiply
    461,388.81x = 691,660.40 × 161,706.03
  4. Step 4: Simplify right side
    461,388.81x = 111,845,656,583.68
  5. Step 5: Solve for x
    x = 111,845,656,583.68/461,388.81
  6. Step 6: Final answer
    x = 242,410.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.